Car Parking

Algebra Level 1

In a parking lot, the ratio of white cars to blue cars is 2:3, and the ratio of blue cars to silver cars is 2:5. What is the least number of cars in the parking lot?

Assume that there is at least 1 car in the parking lot.

50 25 12 31

5 solutions

Aditya Pai
Jun 10, 2015

The cars are in the ratio 2:3 and 2:5 we need to make the number of blue cars equal in both the ratios.Therefore, first ratio becomes 4:6 and the second one becomes 6:15.So minimum number of cars is 4 + 6 + 15 =25.

lets put it in numbers , words are too long sometimes. ( for some people )

$\ \frac{2}{3} \ white : 1 \ blue : \frac{5}{2} \ silver$

$\ 4 \ white : 6 \ blue : 15 \ silver$

every 2 white has 3 blue

every 2 blue has 5 silver

minimum cars when it is not 0 = 25 = 4 + 6 +15

Ne-ko Nya - 5 years, 12 months ago

Paul D.
Jun 17, 2015

The real answer is 0 cars. It never says that there are actually any blue cars in the parking lot at all. And if there are no blue cars, then there are no white or silver cars either.

You are right, sir!

Yoogottam Khandelwal - 5 years, 11 months ago

Thanks. I've updated the problem to indicate that there is at least one car.

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Calvin Lin Staff - 5 years, 11 months ago

Yoogottam Khandelwal
Jun 21, 2015

white:blue=2:3

blue:silver=2:5

white:blue:silver=4:6:15

now, least no. of cars=4+6+15

= $\boxed{ 25 }$

Ameya Patil
Jun 18, 2015

ANSWER IS 20..... as there has to be 3 blue cars if all the colored cars has to be in the parking.... now, out of 3 blue cars there are 3 combinations of 2 blue cars so there will be 15 silver cars and for 3 blue cars two white cars will be there... so, 15+3+2= 20

Mam it is 25..why?